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Finding the Fourth Proportional to 199,769.50, 299,697.99 and 75,110.50

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Solution

The fourth proportional to 199,769.50, 299,697.99 and 75,110.50 is: 112,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,769.50 : 299,697.99 = 75,110.50 : x
  2. Step 2: Convert to fraction form
    199,769.50/299,697.99 = 75,110.50/x
  3. Step 3: Cross multiply
    199,769.50x = 299,697.99 × 75,110.50
  4. Step 4: Simplify right side
    199,769.50x = 22,510,465,877.90
  5. Step 5: Solve for x
    x = 22,510,465,877.90/199,769.50
  6. Step 6: Final answer
    x = 112,682.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.